TS EAMCET · Physics · Wave Optics
In Young's double slit experiment, if the distance between \(5^{\text {th }}\) bright and \(7^{\text {th }}\) dark fringes is 3 mm, then the distance between \(5^{\text {th }}\) dark and \(7^{\text {th }}\) bright fringes is
- A 6 mm
- B 3 mm
- C 5 mm
- D 4 mm
Answer & Solution
Correct Answer
(C) 5 mm
Step-by-step Solution
Detailed explanation
\(x_{n, \text{bright}} = n\beta\) \(x_{n, \text{dark}} = (n - \frac{1}{2})\beta\) \(|x_{7, \text{dark}} - x_{5, \text{bright}}| = |(7 - \frac{1}{2})\beta - 5\beta| = |6.5\beta - 5\beta| = 1.5\beta\) \(1.5\beta = 3 \text{ mm} \implies \beta = 2 \text{ mm}\)…
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